The generator matrix

1 1 X X 1 1 0 X 0 1 X 1 1 X 1 1 0 X 1 1 1 0 X 1 X 0 X 0 1 0 X 1 1 X 1 0 1 X 1 1 1 1 X 1 1 0 X 1
0 1 1 0 X+1 X 1 0 1 0 1 X 1 X 1 0 1 1 X X+1 0 1 X 1 1 1 1 0 X 0 0 1 X 1 0 1 X+1 1 X+1 0 X 0 0 X+1 1 1 1 0
0 0 0 X 1 1 X+1 1 1 X+1 0 X X+1 X 0 X+1 1 X 0 0 X+1 0 X X+1 1 1 X+1 X 0 0 0 1 X+1 0 0 0 X 0 1 0 X 1 0 1 X+1 X+1 X+1 0
0 0 1 1 0 X 1 1 X+1 X 1 0 X 1 0 X+1 X+1 1 0 X X 1 1 0 1 X+1 1 1 X+1 1 1 0 1 1 X 1 X+1 X+1 X+1 0 X+1 X 0 1 X+1 X+1 1 0
0 0 0 0 0 0 X X 1 1 1 X+1 X+1 X+1 0 1 X+1 1 0 1 1 X 0 0 X 0 X 0 X+1 X 1 0 X+1 0 1 X+1 1 1 1 X+1 1 0 1 0 1 0 X+1 0
0 0 0 0 0 0 0 0 0 0 0 0 X X 0 X 0 0 X 0 X X 0 X 0 0 1 X+1 X+1 X+1 X+1 X+1 X+1 X+1 1 X+1 1 X+1 X+1 1 1 X+1 X X+1 1 X X 0
0 0 0 0 0 0 0 0 0 0 0 X 0 X X+1 X+1 X+1 1 1 1 1 1 X+1 X+1 1 X X+1 X+1 0 X X+1 X X+1 1 X 1 0 X+1 1 1 1 1 1 X 0 X+1 X 0

generates a code of length 48 over Z2[X]/(X^2) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+85x^36+96x^37+248x^38+304x^39+454x^40+522x^41+680x^42+816x^43+902x^44+1056x^45+1058x^46+1300x^47+1222x^48+1300x^49+1185x^50+1118x^51+964x^52+784x^53+656x^54+514x^55+413x^56+246x^57+243x^58+98x^59+45x^60+24x^61+24x^62+10x^63+10x^64+4x^65+1x^70+1x^78

The gray image is a linear code over GF(2) with n=96, k=14 and d=36.
This code was found by an older version of Heurico in 0 seconds.